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lina2011 [118]
3 years ago
6

8 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

<em>The correct answer choice is:   B</em>

Step-by-step explanation:

<u>Culture A</u>

Initial number of cells = 1000

The number of cells is raised by 200 each day and every day thereafter.

So, the number of cells raised in one month(30 days) =200\times 30=6000

Thus, the total number of cells in culture A at the end of one month will be:  1000+6000=7000

<u>Culture B</u>

Initial number of cells = 1000

The number of cells is increased by 8% each day and every day thereafter.

<em>Formula for exponential growth is:</em>   A=P(1+r)^t, where P= Initial amount, A= Final amount, r= Rate of growth in decimal form and t= Time duration.

Using the above formula, the number of cells after 30 days will be.....

A= 1000(1+0.08)^3^0\\ \\ A=1000(1.08)^3^0= 10062.656...


That means, Culture B is more effective in promoting cell growth.

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Which of the following is not part of the Triangle Proportionality Theorem?
natka813 [3]

Answer:

A. AA Similarity Theorem  . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle.  True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

Now, here the given statements are:

<u>A. AA Similarity Theorem </u>

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

<u>B. Two sides divided proportionally. </u>

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

<u>C. A parallel line to one side of a triangle. </u>

TRUE, as the parallel line divides the other two  non- parallel sides in equal proportions.

<u>D. A perpendicular line to one side of a triangle.</u>

FALSE, this part is not required anywhere in the given theorem result.

3 0
2 years ago
An express train travels 80km/h from Ironton to Wildwood. A local train, traveling at 48km/h, takes 2 hours longer for the same
masha68 [24]

Answer:

They are 240 kilometers apart.

Step-by-step explanation:

This question can be solved using the following relation:

v = \frac{d}{t}

In which v is the velocity, d is the distance and t is the time.

An express train travels 80km/h from Ironton to Wildwood.

Here we have v = 80, t = x. So

v = \frac{d}{t}

80 = \frac{d}{x}

d = 80x

A local train, traveling at 48km/h, takes 2 hours longer for the same trip.

This means that when v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}

48 = \frac{d}{x+2}

Since d = 80x

48 = \frac{80x}{x+2}

Applying cross multiplication

80x = 48(x + 2)

80x = 48x + 96

32x = 96

x = \frac{96}{32}

x = 3

So the distance is:

d = 80x = 80*3 = 240

They are 240 kilometers apart.

3 0
3 years ago
3x-2x+4=2+x+2<br><br><br> Help I don’t get this. Shoot I’ll give you some points
andrew-mc [135]

Answer:

\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}

3x - 2x + 4 = 2 + x + 2 \\ x + 4 = 4 + x \\ x - x = 4 - 4 \\ 0 = 0

•°• LHS = RHS

✏ Hence, proved.

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\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}

3 0
3 years ago
Read 2 more answers
Write an equation for the following problem and then solve the equation.
melomori [17]

Answer:bhbehrf

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What’s the given m ABC = 70 and m ADC = 46
uysha [10]

Answer:

Step-by-step explanation:

Properties of a kite;

1). A kite has one pair of equal angles.

2). A kite has two pairs of adjacent sides.

3). Diagonals of a kite intersect at 90°.

4). Kite has at least one diagonal that bisects the opposite angles.

It's given in the question,

m∠ABC = 70° and m∠ADC = 46°

By the property number -4,

m∠2 = m∠3 = \frac{70}{2} = 35°

m∠8 = m∠9 = \frac{46}{2} = 23°

By the property number - 3,

m∠4 = 90°

By the property of interior angles in a triangle,

m∠3 + m∠4 + m∠5 = 180°

35° + 90° + m∠5 = 180°

125° + m∠5 = 180°

m∠5 = 55°

Similarly, m∠1 + m∠2 + 90° = 180°

m∠1 + 35° + 90° = 180°

m∠1 = 55°

Now m∠6 + 90° + m∠8 = 180°

m∠6 + 90° + 23° = 180°

m∠6 = 180 - 113 = 67°

Therefore, m∠6 = m∠7 = 67°

3 0
3 years ago
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